雁爪[ganzume] Japanese rake
糸爪[hechima] sponge gourd
爪で拾って箕で零す[tsumedehirottemidekobosu] penny wise and pound foolish
爪痕[tsumeato] fingernail mark
爪先[tsumasaki] tiptoe

爪先で歩く[tsumasakidearuku] to tiptoe
爪弾き[tsumahajiki] black sheep (of a family)
爪楊枝[tsumayouji] toothpick
爪立ち[tsumadachi] standing on tiptoes

鈎虫[kouchuu] hookworm
鈎鼻[kagibana] hooked nose
毛鈎[kebari] (fishing) fly
鈎爪[kagizume] claw

鈎股弦の定理[koukogennoteiri] Pythagorean theorem
鈎股弦[koukogen] three sides of right triangle (minor cathetus, major cathetus & hypotenuse)
引目鈎鼻[hikimekagihana] style of drawing the human face, popular in the Heian period